Question
In ∆ABC , G is the centroid , AB = 8 cm, BC= 10 cm and AC = 12 cm , find GD, where D is the mid-point of BC?
If AD is the median, then we know, AB² + AC² = 2{AD² + (BC/2)²} or 82 + 122 = 2{AD 2 + (10/2) 2 } or 64 + 144 = 2{AD 2 + 25} or 208/2 = AD 2 + 25 or 104 = AD 2 + 25 or AD 2 = 104 – 25 = 79 or AD = √79 = √79 Now G divides median in 2:1 so GD = 1/3 of AD = 1/3 of 4√13 = 4√13/3cmMore Geometry Questions
- The length of the each side of an equilateral triangle is 63√3 cm . The area of circumcircle, (cm 2 ) is
- The area of the largest triangle inscribed in a semi-circle of radius R is-
- Question 3
- What will be inradius of an equilateral triangle of side 8 cm?
- In ΔABC, PQ is parallel to BC If AP: PB= 3:4 and AQ= 6 cm, AC is equal to?
- AB is the diameter of a circle with centre 'O'. PQ is a chord that cuts AB at 'C'. If radius of the circle is 7.5 cm and AC:CB = 3:2, the find the length o...
- If the angles of the triangle are in the ratio of 1:2:3, then what is the smallest angle?
- If the area of ∆ ABC is 33 cm2 & G is the centroid of ∆ ABC.then the area of the ∆ BGC?
- If median AD of an equilateral ∆ABC is 21 cm and G is centroid. Find GD?
- ∆ABC and ∆DEF are similar and their areas are respectively 121 cm2 and 144 cm 2 . If EF = 24 cm BC is?
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)